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Simplifying -3z + 21 + -1z = 8 + -7 Reorder the terms: 21 + -3z + -1z = 8 + -7 Combine like terms: -3z + -1z = -4z 21 + -4z = 8 + -7 Combine like terms: 8 + -7 = 1 21 + -4z = 1 Solving 21 + -4z = 1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -4z = 1 + -21 Combine like terms: 21 + -21 = 0 0 + -4z = 1 + -21 -4z = 1 + -21 Combine like terms: 1 + -21 = -20 -4z = -20 Divide each side by '-4'. z = 5 Simplifying z = 5
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